Block, Louis

• 3743986
  Block, Louis(1-FL)
  Department of Mathematics, University of Florida
  Gainesville, Florida, 32611 ; Keesling, James(1-FL)

  Department of Mathematics, University of Florida
  Gainesville, Florida, 32611 ; Rucka, Lenka(CZ-SIL-IM)

  Institute of Mathematics, Silesian University
  746 01 Opava, Czech Republic
  A generalized definition of topological entropy. (English summary)
  Topology Proc. 52 (2018), 205-218.
  54H20
  
• 3350495
  Block, Louis(1-FL); Keesling, James(1-FL)
  Topological entropy of transitive maps of the interval. (English summary)
  J. Difference Equ. Appl. 21 (2015), no. 6, 535-544.
  37B40 (37E05 37E15)
  
• 3350495
  Block, Louis(1-FL); Keesling, James(1-FL)
  Topological entropy of transitive maps of the interval. (English summary)
  J. Difference Equ. Appl. 21 (2015), no. 6, 535-544.
  37B40 (37E05 37E15)
  
• 3193424
  Block, Louis(1-FL); Ledis, Dennis(1-TXC)
  Topological conjugacy, transitivity, and patterns. (English summary)
  Topology Appl. 167 (2014), 53-61.
  37B20 (54H11 54H20)
  
• 2905287
  Block, Louis(1-FL); Keesling, James(1-FL); Ledis, Dennis(1-FL)
  Semi-conjugacies and inverse limit spaces. (English summary)
  J. Difference Equ. Appl. 18 (2012), no. 4, 627–645.
  37Bxx
  
• 2546944
  Block, Louis(1-FL); Keesling, James(1-FL); Raines, Brian(1-WACO); Štimac, Sonja(CT-ZAGR-ECB)
  Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point. (English summary)
  Topology Appl. 156 (2009), no. 15, 2417--2425.
  37B45 (54F15 54H20)
  
• 2280661
  Block, Louis(1-FL); Jakimovik, Slagjana(1-FL); Keesling, James(1-FL)
  On Ingram's conjecture. (English summary)
  Spring Topology and Dynamical Systems Conference.
  Topology Proc. 30 (2006), no. 1, 95--114.
  54F15 (37B45 37E05 54H20)
  
• 2237463
  Block, Louis(1-FL); Keesling, James(1-FL); Misiurewicz, Micha\l(1-INPI)
  Strange adding machines. (English. English summary)
  Ergodic Theory Dynam. Systems 26 (2006), no. 3, 673--682.
  37Exx (37Bxx)
• 2214878
  Block, Louis(1-FL); Jakimovik, Slagjana(FMD-SKOP); Kailhofer, Lois; Keesling, James(1-FL)
  On the classification of inverse limits of tent maps. (English. English summary)
  Fund. Math. 187 (2005), no. 2, 171--192.
  54F15 (37Bxx 37Exx)
• 2110252
  Block, Louis(1-FL); Keesling, James(1-FL)
  Topological entropy and adding machine maps. (English. English summary)
  Houston J. Math. 30 (2004), no. 4, 1103--1113 (electronic).
  37B40 (54C70 54H20)
• 2074913
  Block, Louis(1-FL); Keesling, James(1-FL)
  A characterization of adding machine maps. (English. English summary)
  Topology Appl. 140 (2004), no. 2-3, 151--161.
  37B20 (54H11 54H20)
• 1992660
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL); Geller, William(1-INPI); Hubner, Kristin(1-WESL)
  Minimal combinatorial models for maps of an interval with a given set of periods. (English. English summary)
  Ergodic Theory Dynam. Systems 23 (2003), no. 3, 707--728.
  37E05 (37E15)
• 1919292
  Block, Louis(1-FL); Keesling, James(1-FL)
  Iterated function systems and the code space. (English. English summary)
  Proceedings of the International Conference on Topology and its Applications (Yokohama, 1999).
  Topology Appl. 122 (2002), no. 1-2, 65--75.
  37B10 (37A35 37C45)
• 1823960
  Block, L.(1-FL); Keesling, J.(1-FL); Uspenskij, V. V.(1-OH)
  Inverse limits which are the pseudoarc. (English. English summary)
  Houston J. Math. 26 (2000), no. 4, 629--638.
  54H20 (54B35 54C35 54C70)
• 1611285
  Block, Louis(1-FL); Keesling, James(1-FL)
  On homeomorphisms of $( I,f)$ having topological entropy zero. (English. English summary)
  Proceedings of the International Conference on Set-theoretic Topology and its Applications, Part 2 (Matsuyama, 1994).
  Topology Appl. 84 (1998), no. 1-3, 121--137.
  54H20 (54C70)
• 1415882
  Block, Louis(1-FL); Blokh, Alexander M.(1-AL2); Coven, Ethan M.(1-WESL)
  Zero entropy permutations. (English. English summary)
  Reprint of the paper reviewed in MR 97a:58147. World Sci. Ser. Nonlinear Sci. Ser. B Spec. Theme Issues Proc., 8,
  Thirty years after Sharkovski\u\i's theorem: new perspectives (Murcia, 1994), 69--75,
  World Sci. Publishing, River Edge, NJ, 1995.
  58F20
• 1372956
  Block, Louis(1-FL); Galeeva, Roza(1-NW); Keesling, James(1-FL)
  Continuity of entropy for a two-parameter family of bimodal maps. (English. English summary)
  Dynamical systems and applications, 101--116,
  World Sci. Ser. Appl. Anal., 4,
  World Sci. Publishing, River Edge, NJ, 1995.
  58F03 (28D20 58F20)
• 1361921
  Block, Louis(1-FL); Blokh, Alexander M.(1-AL2); Coven, Ethan M.(1-WESL)
  Zero entropy permutations. (English. English summary)
  Proceedings of the Conference "Thirty Years after Sharkovski\u\i's Theorem: New Perspectives" (Murcia, 1994).
  Internat. J. Bifur. Chaos Appl. Sci. Engrg. 5 (1995), no. 5, 1331--1337.
  58F20
• 1326843
  Block, Louis(1-FL); Schumann, Shannon(1-KY)
  Inverse limit spaces, periodic points, and arcs. (English. English summary)
  Continua (Cincinnati, OH, 1994), 197--205,
  Lecture Notes in Pure and Appl. Math., 170,
  Dekker, New York, 1995.
  54H20 (54B35 58F03)
• 1176513
  Block, L. S.(1-FL); Coppel, W. A.(5-ANUIP-TP)
  Dynamics in one dimension.
  Lecture Notes in Mathematics, 1513.
  Springer-Verlag, Berlin, 1992. viii+249 pp. ISBN 3-540-55309-6
  58F13 (26A18 54H20 58F03)
• 1151977
  Block, Louis(1-FL); Keesling, James(1-FL)
  Computing the topological entropy of maps of the interval with three monotone pieces.
  J. Statist. Phys. 66 (1992), no. 3-4, 755--774.
  58F08 (54C70 58F11)
• 1102718
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL)
  Approximating entropy of maps of the interval.
  Dynamical systems and ergodic theory (Warsaw, 1986), 237--241,
  Banach Center Publ., 23,
  PWN, Warsaw, 1989.
  58F20 (54H20)
• 1002478
  Block, Louis(1-FL); Keesling, James(1-FL); Li, Shi Hai(1-FL); Peterson, Kevin(1-FL)
  An improved algorithm for computing topological entropy.
  J. Statist. Phys. 55 (1989), no. 5-6, 929--939.
  58F08 (54C70 58F11 58F13)
• 974779
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL); Jonker, Leo(3-QEN); Misiurewicz, Micha\l(PL-WASW)
  Primary cycles on the circle.
  Trans. Amer. Math. Soc. 311 (1989), no. 1, 323--335.
  58F08 (26A18 54H20)
• 896788
  Block, Louis(1-FL); Hart, David(1-CINC)
  Orbit types for maps of the interval.
  Ergodic Theory Dynam. Systems 7 (1987), no. 2, 161--164.
  58F20 (26A18 54H20 58F08)
• 871677
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL)
  Topological conjugacy and transitivity for a class of piecewise monotone maps of the interval.
  Trans. Amer. Math. Soc. 300 (1987), no. 1, 297--306.
  58F08 (54H20 58F20)
• 863198
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL)
  $\omega$-limit sets for maps of the interval.
  Ergodic Theory Dynam. Systems 6 (1986), no. 3, 335--344.
  58F20 (54H20 58F08)
• 858010
  Block, Louis(1-FL)
  Dynamical complexity of maps of the interval.
  Chaotic dynamics and fractals (Atlanta, Ga., 1985), 113--122,
  Notes Rep. Math. Sci. Engrg., 2,
  Academic Press, Orlando, FL, 1986.
  58F08 (58F13)
• 857952
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL)
  Maps of the interval with every point chain recurrent.
  Proc. Amer. Math. Soc. 98 (1986), no. 3, 513--515.
  54H20 (34C35 54E45 58F08 58F20)
• 854086
  Block, L. S.(1-FL); Coppel, W. A.(5-ANU)
  Stratification of continuous maps of an interval.
  Trans. Amer. Math. Soc. 297 (1986), no. 2, 587--604.
  58F20 (26A18 54C70 54H20)
• 805832
  Block, Louis(1-FL); Franke, John E.(1-NCS)
  The chain recurrent set, attractors, and explosions.
  Ergodic Theory Dynam. Systems 5 (1985), no. 3, 321--327.
  58F12 (54H20 58F25)
• 792292
  Block, Louis(1-FL); Franke, John E.(1-NCS)
  Isolated chain recurrent points for one-dimensional maps.
  Proc. Amer. Math. Soc. 94 (1985), no. 4, 728--730.
  58F08 (54H20 58F20)
• 760951
  Block, Louis(1-FL); Franke, John E.(1-NCS)
  The chain recurrent set for maps of the circle.
  Proc. Amer. Math. Soc. 92 (1984), no. 4, 597--603.
  58F12 (54H20 58F20)
• 741488
  Block, Louis(1-FL); Hart, David(1-FL)
  Dynamics and bifurcation in one dimension.
  Trends in theory and practice of nonlinear differential equations (Arlington, Tex., 1982), 77--79,
  Lecture Notes in Pure and Appl. Math., 90,
  Dekker, New York, 1984.
  58F08 (58F14)
• 753921
  Block, Louis(1-FL); Hart, David(1-FL)
  Stratification of the space of unimodal interval maps.
  Ergodic Theory Dynam. Systems 3 (1983), no. 4, 533--539.
  58F20 (54H20)
• 753920
  Block, Louis(1-FL); Coven, Ethan(1-WESL); Mulvey, Irene; Nitecki, Zbigniew(1-TUFT)
  Homoclinic and nonwandering points for maps of the circle.
  Ergodic Theory Dynam. Systems 3 (1983), no. 4, 521--532.
  58F20 (28D05 54H20)
• 687650
  Block, Louis; Franke, John E.
  The chain recurrent set for maps of the interval.
  Proc. Amer. Math. Soc. 87 (1983), no. 4, 723--727.
  58F22 (54H20)
• 695273
  Block, Louis
  Critical points of one parameter families of maps of the interval.
  Proc. Amer. Math. Soc. 88 (1983), no. 2, 347--350.
  58F14 (58F20)
• 693970
  Block, Louis; Hart, David
  The bifurcation of homoclinic orbits of maps of the interval.
  Ergodic Theory Dynamical Systems 2 (1982), no. 2, 131--138 (1983).
  58F14 (58F08)
• 693969
  Block, Louis; Hart, David
  The bifurcation of periodic orbits of one-dimensional maps.
  Ergodic Theory Dynamical Systems 2 (1982), no. 2, 125--129 (1983).
  58F14 (58F08)
• 661815
  Block, Louis; Coven, Ethan M.; Nitecki, Zbigniew
  Minimizing topological entropy for maps of the circle.
  Ergodic Theory Dynamical Systems 1 (1981), no. 2, 145--149.
  58F11 (28D20 54C70)
• 612745
  Block, Louis
  Periods of periodic points of maps of the circle which have a fixed point.
  Proc. Amer. Math. Soc. 82 (1981), no. 3, 481--486.
  58F20 (54H20)
• 593484
  Block, Louis
  Stability of periodic orbits in the theorem of \v Sarkovskii.
  Proc. Amer. Math. Soc. 81 (1981), no. 2, 333--336.
  58F20 (28D05)
• 574798
  Block, Louis
  Periodic orbits of continuous mappings of the circle.
  Trans. Amer. Math. Soc. 260 (1980), no. 2, 553--562.
  54H20 (58F20)
• 591173
  Block, Louis; Guckenheimer, John; Misiurewicz, Micha\l; Young, Lai Sang
  Periodic points and topological entropy of one-dimensional maps.
  Global theory of dynamical systems (Proc. Internat. Conf., Northwestern Univ., Evanston, Ill., 1979), pp. 18--34,
  Lecture Notes in Math., 819,
  Springer, Berlin, 1980.
  58F20 (28D20 54C70)
• 539925
  Block, Louis
  Simple periodic orbits of mappings of the initial.
  Trans. Amer. Math. Soc. 254 (1979), 391--398.
  58F20 (28D20 54H20)
• 509258
  Block, Louis
  Homoclinic points of mappings of the interval.
  Proc. Amer. Math. Soc. 72 (1978), no. 3, 576--580.
  58F20 (28D20 54H20)
• 474240
  Block, Louis
  Continuous maps of the interval with finite nonwandering set.
  Trans. Amer. Math. Soc. 240 (1978), 221--230.
  54H20 (58F20)
• 461578
  Block, Louis
  Topological entropy at an $u$-explosion.
  Trans. Amer. Math. Soc. 235 (1978), 323--330.
  58F10 (54H20)
• 467841
  Block, Louis
  Mappings of the interval with finitely many periodic points have zero entropy.
  Proc. Amer. Math. Soc. 67 (1977), no. 2, 357--360.
  58F20 (54H20)
• 461582
  Block, Louis
  An example where topological entropy is continuous.
  Trans. Amer. Math. Soc. 231 (1977), no. 1, 201--213.
  58F15 (54H20)
• 436220
  Block, Louis
  The periodic points of Morse-Smale endomorphisms of the circle.
  Trans. Amer. Math. Soc. 226 (1977), 77--88.
  58F20
• 413186
  Block, Louis
  Morse-Smale endomorphisms of the circle.
  Proc. Amer. Math. Soc. 48 (1975), 457--463.
  58F20 (58F15)
• 388457
  Block, Louis
  Diffeomorphisms obtained from endomorphisms.
  Trans. Amer. Math. Soc. 214 (1975), 403--413.
  58F20
• 367953
  Block, Louis
  Noncontinuity of topological entropy of maps of the Cantor set and of the interval.
  Proc. Amer. Math. Soc. 50 (1975), 388--393.
  54H20
• 358867
  Block, Louis; Franke, John
  Existence of periodic points for maps of $S\sp{1}$.
  Invent. Math. 22 (1973/74), 69--73.
  58F20
• 309154
  Block, Louis; Franke, John
  A classification of the structurally stable contracting endomorphisms of $S\sp{1}$.
  Proc. Amer. Math. Soc. 36 (1972), 597--602.
  58F10